How do you find the area of a hexagon with a side length and an Apothem?

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How do you find the area of a hexagon with a side length and an Apothem?

The formula for the area of a hexagon is Area = (3√3 s2)/2; where ‘s’ is the length of one side of the regular hexagon. The formula for the area of a hexagon can also be given in terms of the apothem as, Area of hexagon = (1/2) × a × P; where ‘a’ is the length of the apothem and ‘P’ is the perimeter of the hexagon.

How do you find the area of a hexagon using the Pythagorean Theorem?

Because the hexagon is made up of 6 equilateral triangles, to find the area of the hexagon, we will first find the area of each equilateral triangle then multiply it by 6. Using the Pythagorean Theorem, we find that the height of each equilateral triangle is . Multiply this value by 6 to find the area of the hexagon.

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How do you find the length of a side in a hexagon?

The simplest, and by far most common, way of finding the length of a regular hexagon’s sides is using the following formula: ​s​ = ​P​ ÷ 6, where ​P​ is the perimeter of the hexagon, and ​s​ is the length of any one of its sides.

How do you find the area of a hexagon with a diagonal?

For finding the area of hexagon, we are given only the length of its diagonal i.e d. The interior angles of Hexagon are of 120 degrees each and the sum of all angles of a Hexagon is 720 degrees. The formula to find the area of hexagon with side length a, Area = (3a2 √3) / 2.

How do you find the area of a hexagon?

Since a regular hexagon is comprised of six equilateral triangles, the formula for finding the area of a hexagon is derived from the formula of finding the area of an equilateral triangle. The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

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What is the area of the hexagonal shaped plot?

The area of hexagon formula is (3√3 s2)/2, where s is the side of regular hexagon.

Is any 6 sided shape a hexagon?

In geometry, a hexagon (from Greek ἕξ, hex, meaning “six”, and γωνία, gonía, meaning “corner, angle”) is a six-sided polygon or 6-gon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

What is a 8 sided shape called?

octagon
An octagon is a shape with 8 sides and 8 angles.

What is the area of a hexagon using apothem?

In such a case, the area of the hexagon is: The apothem, a, of a regular hexagon is half of the distance between opposite sides of the hexagon. The area formula using the apothem is: Finding area using a grid

How to find the area of a hexagon with a perimeter?

The area, A, of a regular hexagon can be found given only its side length, s, with the formula: Find the area of a regular hexagon that has a perimeter of 72. Given that the perimeter is 72, the length of each side of the regular hexagon can be found by dividing the perimeter by 6, making each side length 12.

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Do all sides of a hexagon have the same length?

The length of the sides can vary even within the same hexagon, except when it comes to the regular hexagon, in which all sides must have equal length. We will dive a bit deeper into such shape later on, when we deal with how to find the area of a hexagon.

What are the angles of an arbitrary hexagon?

The angles of an arbitrary hexagon can have any value, but they all must to sum up to 720º (you can easily convert to other units using our angle conversion calculator ). In a regular hexagon, however, all the hexagon sides and angles have to have the same value.